TR-PINK-F-006 / Teal / Review draft

Trend estimator

Terminology revised · September 12 evidence

Later individual Teal rerun. The reported execution status is historical and is not a new test result.

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
27
TEAL-RERUN-02-B002 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-006 / Trend estimator
IF
Invoke F-006 with exactly these inputs: previous_trend: Real, previous_smooth: Real, current_smooth: Real,
dt: Real. Real values use finite decimal text; null remains unknown.
HOW
Source expression: n_dot[t] = (2/3)*n_dot[t-1] + (1/3)*(n_bar[t]-n_bar[t-1])/dt. Current Bangel expression: (2.0
/ 3.0) * previous_trend + (1.0 / 3.0) * ((current_smooth - previous_smooth) / dt). Require every input to be
known. Require dt > 0.0.
THEN
Emit the scoped calculation result. Missing inputs produce their specific PINK_MISSING_* HOLD; failed profile
checks produce PINK_DOMAIN. A false numeric predicate can occur in a PASS calculation receipt; it is not
permission.
CURRENT EVIDENCE
Fixture inputs {"previous_trend": "3", "previous_smooth": "10", "current_smooth": "16", "dt": "2"}; expected
3. Result matched through Bangel, admitted JP, the Bangel API, with validated receipt outputs. 4 missing-input
cases and 0 supplied domain cases passed.
SOURCE DIMENSION
1/time
REMAINING REQUIREMENT
Complete the source-defined measurement/evidence contract, units and calibration bindings. Native C# and Hagar formula-ID
bindings remain unverified in this rerun.
SOURCE REFERENCES
D006 pp. 12,27,28; D011 pp. 2,17,18
Evidence: evidence/rerun/pink/F-006.json

Publication is pending owner review. White papers are excluded.